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Finding the Fourth Proportional to 415.69, 622.00 and 260.38

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Solution

The fourth proportional to 415.69, 622.00 and 260.38 is: 389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.69 : 622.00 = 260.38 : x
  2. Step 2: Convert to fraction form
    415.69/622.00 = 260.38/x
  3. Step 3: Cross multiply
    415.69x = 622.00 × 260.38
  4. Step 4: Simplify right side
    415.69x = 161,951.95
  5. Step 5: Solve for x
    x = 161,951.95/415.69
  6. Step 6: Final answer
    x = 389.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.